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Finding the Fourth Proportional to 471,014.90, 706,522.35 and 365,909.30

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Solution

The fourth proportional to 471,014.90, 706,522.35 and 365,909.30 is: 548,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,014.90 : 706,522.35 = 365,909.30 : x
  2. Step 2: Convert to fraction form
    471,014.90/706,522.35 = 365,909.30/x
  3. Step 3: Cross multiply
    471,014.90x = 706,522.35 × 365,909.30
  4. Step 4: Simplify right side
    471,014.90x = 258,523,098,522.86
  5. Step 5: Solve for x
    x = 258,523,098,522.86/471,014.90
  6. Step 6: Final answer
    x = 548,863.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.